Finding the Third Proportional to 243 and 262.50
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Solution
The third proportional to 243 and 262.50 is: 283.56
Step by Step Solution
- Step 1: Write the proportion equation
243 : 262.50 = 262.50 : x - Step 2: Convert to fraction form
243/262.50 = 262.50/x - Step 3: Cross multiply
243x = 262.50 × 262.50 - Step 4: Simplify right side
243x = 68,906.25 - Step 5: Solve for x
x = 68,906.25/243 - Step 6: Final answer
x = 283.56
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Why These Related Problems?
These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.